INTRODUCTION ABOUT DEGREE OF POLYNOMIAL CALCULATOR:
In arithmetic, a polynomial is an expression of finite length constructed from variables and constants, using only the addition, subtraction, multiplication operations, and non-negative, whole-number exponents. The maximum power of the variable in a polynomial is called the degree of the polynomial. A term with no variables is called a constant term and its degree is zero.I like to share this Polynomial Solver with you all through my article.
Find the Degree of Polynomial:
CONDITION FOR POLYNOMIAL:
In polynomial the variable should not involve in division operation.
Ex: `x^2 -4x+7, x^3 +5x^2-x+6, ` it is a polynomial.
Ex: `x^2 -4/x+3/2,` not a polynomial.
General form for degree of Polynomial Calculator:
A polynomial function is a function that can be defined as,
`f(x)=a_nx^n+a_(n-1)x^(n-1)+...+a_2x^2+a_1x+a_0`
Where n is a non-negative integer and `a_0, a_1,a_2,` ...,` a_n ` is constant coefficients.
First Degree of polynomial calculator:
The first degree polynomial is the polynomial that has only one variable. The variable may be x, y or z and it is easy to find the value for the variable. The combinations of two first degree polynomials are called as second degree polynomial.
Second degree polynomial calculator:
In this equation 6x2+5x+2 the power of x is 2. so it is a second-degree polynomial or a polynomial of degree 2.
POLYNOMIAL CALCULATOR:
To solve the polynomial in calculator, first we have to enter the two polynomials then click anyone of the button like add, subtract, multiply, division and factor and the equivalent operation will be performed and answer will be displayed. Thus the polynomial calculator is shown below.
Example and Practice Problem for first and Second Degree Polynomial Calculator:
First degree polynomial calculator:
Example 1:
Determine the value for the first degree polynomial 2x+10 = 12.
Solution:
The given first degree polynomial is 2x+10 = 12.
For the above polynomial, subtract 10 on both sides of the equation.
2x +10-10 =12-10
2x = 2
Divide by 2 on both sides of the above equation.
`(2x)/2 = 2/2`
x = 1
The value for the first degree polynomial 2x+10 = 12 is 1.
Second degree polynomial calculator:
Example 1
Find whether the given expression is a second degree polynomial or not.
(x - 1) (x - 2) = 0
Solution:
Multiply two expressions in the left hand side,
(x - 1) (x - 2) = 0
x(x-2) -1(x-2) =0
x2 -2x -x + 1(2) = 0
x2 -3x +2 = 0
So, the highest exponent of variable x is 2.
So, the given polynomial equation is second degree polynomial equation.
Practice Problem for first Degree Polynomial:
1.Find the value for the first degree polynomial of 2x+ 5 = 6.
Answer: x= 1/2.
2.Compute the value for the first degree polynomial 4x+12 = 24.
Answer: x=3.
Practice Problem for Second Degree Polynomial:
1. Find whether the given expression is a second degree polynomial or not.
(x - 10) (x - 5) = 0
Answer: The polynomial equation is second degree polynomial equation.
In arithmetic, a polynomial is an expression of finite length constructed from variables and constants, using only the addition, subtraction, multiplication operations, and non-negative, whole-number exponents. The maximum power of the variable in a polynomial is called the degree of the polynomial. A term with no variables is called a constant term and its degree is zero.I like to share this Polynomial Solver with you all through my article.
Find the Degree of Polynomial:
CONDITION FOR POLYNOMIAL:
In polynomial the variable should not involve in division operation.
Ex: `x^2 -4x+7, x^3 +5x^2-x+6, ` it is a polynomial.
Ex: `x^2 -4/x+3/2,` not a polynomial.
General form for degree of Polynomial Calculator:
A polynomial function is a function that can be defined as,
`f(x)=a_nx^n+a_(n-1)x^(n-1)+...+a_2x^2+a_1x+a_0`
Where n is a non-negative integer and `a_0, a_1,a_2,` ...,` a_n ` is constant coefficients.
First Degree of polynomial calculator:
The first degree polynomial is the polynomial that has only one variable. The variable may be x, y or z and it is easy to find the value for the variable. The combinations of two first degree polynomials are called as second degree polynomial.
Second degree polynomial calculator:
In this equation 6x2+5x+2 the power of x is 2. so it is a second-degree polynomial or a polynomial of degree 2.
POLYNOMIAL CALCULATOR:
To solve the polynomial in calculator, first we have to enter the two polynomials then click anyone of the button like add, subtract, multiply, division and factor and the equivalent operation will be performed and answer will be displayed. Thus the polynomial calculator is shown below.
Example and Practice Problem for first and Second Degree Polynomial Calculator:
First degree polynomial calculator:
Example 1:
Determine the value for the first degree polynomial 2x+10 = 12.
Solution:
The given first degree polynomial is 2x+10 = 12.
For the above polynomial, subtract 10 on both sides of the equation.
2x +10-10 =12-10
2x = 2
Divide by 2 on both sides of the above equation.
`(2x)/2 = 2/2`
x = 1
The value for the first degree polynomial 2x+10 = 12 is 1.
Second degree polynomial calculator:
Example 1
Find whether the given expression is a second degree polynomial or not.
(x - 1) (x - 2) = 0
Solution:
Multiply two expressions in the left hand side,
(x - 1) (x - 2) = 0
x(x-2) -1(x-2) =0
x2 -2x -x + 1(2) = 0
x2 -3x +2 = 0
So, the highest exponent of variable x is 2.
So, the given polynomial equation is second degree polynomial equation.
Practice Problem for first Degree Polynomial:
1.Find the value for the first degree polynomial of 2x+ 5 = 6.
Answer: x= 1/2.
2.Compute the value for the first degree polynomial 4x+12 = 24.
Answer: x=3.
Practice Problem for Second Degree Polynomial:
1. Find whether the given expression is a second degree polynomial or not.
(x - 10) (x - 5) = 0
Answer: The polynomial equation is second degree polynomial equation.
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